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Finding the Fourth Proportional to 419,931.59, 630,303.39 and 397,173.22

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Solution

The fourth proportional to 419,931.59, 630,303.39 and 397,173.22 is: 596,143.83

Step by Step Solution

  1. Step 1: Write the proportion equation
    419,931.59 : 630,303.39 = 397,173.22 : x
  2. Step 2: Convert to fraction form
    419,931.59/630,303.39 = 397,173.22/x
  3. Step 3: Cross multiply
    419,931.59x = 630,303.39 × 397,173.22
  4. Step 4: Simplify right side
    419,931.59x = 250,339,625,407.46
  5. Step 5: Solve for x
    x = 250,339,625,407.46/419,931.59
  6. Step 6: Final answer
    x = 596,143.83

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.